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Angular Dynamical Spectra and their Applications

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The Dynamics of Small Bodies in the Solar System

Part of the book series: NATO ASI Series ((ASIC,volume 522))

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Abstract

We define the invariant spectra of rotation angles and twist angles (angular dynamical spectra) and their moments (angular moments) in a 2D Poincaré map. The angular moments give the main frequencies around a stable fixed point of period 1 or higher. We give examples from the standard map. In particular we find the resonant structure (the location of islands, their frequencies, chaotic zones, and noble tori or cantori) near the last KAM curve.

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References

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Author information

Authors and Affiliations

  1. Department of Astronomy, University of Athens, Greece

    C. Efthymiopoulos, N. Voglis & G. Contopoulos

  2. Center for Astronomy and Applied Mathematics, Academy of Athens, Greece

    C. Efthymiopoulos & G. Contopoulos

Authors
  1. C. Efthymiopoulos
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  2. N. Voglis
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  3. G. Contopoulos
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Glasgow Caledonian University, Glasgow, UK

    Bonnie A. Steves

  2. Department of Physics and Astronomy, University of Glasgow, Glasgow, UK

    Archie E. Roy

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© 1999 Springer Science+Business Media Dordrecht

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Efthymiopoulos, C., Voglis, N., Contopoulos, G. (1999). Angular Dynamical Spectra and their Applications. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_45

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  • DOI: https://doi.org/10.1007/978-94-015-9221-5_45

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5133-2

  • Online ISBN: 978-94-015-9221-5

  • eBook Packages: Springer Book Archive

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